what is the most runs scored for the red sox in a home game since 2000 but before 2021

Between the 2000 and 2020 seasons, 4 players were tied for the most runs for the Red Sox in a home game, with 5 runs. The first three are Mookie Betts on April 10, 2018, Jackie Bradley Jr. on August 15, 2015 and Travis Shaw on August 1, 2015.

Interpreted as:

What is the most runs scored for the red sox in a home regular-season game since 2000 but before 2021?

	NAME	R	DATE	TM		OPP	AB	H	2B	3B	HR	RBI	BB	HBP	SO	SB	CS	PA	TB	XBH	SH	SF	IBB	GIDP
1	Mookie Betts M. Betts	5	4/10/2018	BOS	vs	NYY	4	4	2	0	1	4	1	0	0	0	0	5	9	3	0	0	0	0
2	Jackie Bradley Jr. J. Bradley Jr.	5	8/15/2015	BOS	vs	SEA	6	5	3	0	2	7	0	0	1	0	0	6	14	5	0	0	0	0
3	Travis Shaw T. Shaw	5	8/1/2015	BOS	vs	TBR	4	4	1	0	2	3	1	0	0	0	0	5	11	3	0	0	0	0
4	Dustin Pedroia D. Pedroia	5	8/12/2008	BOS	vs	TEX	6	5	1	0	0	2	0	0	0	0	0	6	6	1	0	0	0	0
5	J.D. Martinez	4	8/9/2019	BOS	vs	LAA	5	4	2	0	2	4	0	0	0	0	0	5	12	4	0	0	0	0
6	Mookie Betts M. Betts	4	7/26/2019	BOS	vs	NYY	5	4	1	0	3	5	0	0	0	0	0	5	14	4	0	0	0	0
7	Xander Bogaerts X. Bogaerts	4	7/25/2019	BOS	vs	NYY	6	4	0	0	2	4	0	0	1	0	0	6	10	2	0	0	0	0
8	Xander Bogaerts X. Bogaerts	4	5/23/2017	BOS	vs	TEX	5	3	1	0	0	3	0	0	1	0	0	5	4	1	0	0	0	0
9	Mookie Betts M. Betts	4	8/14/2016	BOS	vs	ARI	6	4	0	0	3	8	0	0	0	0	0	6	13	3	0	0	0	0
10	Josh Rutledge J. Rutledge	4	8/15/2015	BOS	vs	SEA	2	2	0	0	0	0	2	0	0	0	0	4	2	0	0	0	0	0
11	Blake Swihart B. Swihart	4	8/15/2015	BOS	vs	SEA	5	4	2	0	0	3	1	0	1	0	0	6	6	2	0	0	0	0
12	Shane Victorino S. Victorino	4	8/27/2013	BOS	vs	BAL	3	3	1	0	2	7	1	1	0	0	0	5	10	3	0	0	0	0
13	Daniel Nava D. Nava	4	6/4/2013	BOS	vs	TEX	4	3	2	0	0	1	1	0	0	0	0	6	5	2	0	1	0	0
14	Pedro Ciriaco P. Ciriaco	4	8/23/2012	BOS	vs	LAA	6	4	1	0	0	0	0	0	0	0	0	6	5	1	0	0	0	0
15	David Ortiz D. Ortiz	4	6/27/2012	BOS	vs	TOR	2	1	0	0	1	1	3	0	1	0	0	5	4	1	0	0	0	0
16	Jacoby Ellsbury J. Ellsbury	4	9/13/2011	BOS	vs	TOR	5	4	1	0	1	3	1	0	0	0	0	6	8	2	0	0	0	0
17	Dustin Pedroia D. Pedroia	4	9/13/2011	BOS	vs	TOR	5	4	2	0	2	5	0	0	0	0	0	6	12	4	0	1	0	0
18	Kevin Youkilis K. Youkilis	4	5/8/2011	BOS	vs	MIN	4	2	1	0	0	1	0	0	0	0	0	4	3	1	0	0	0	0
19	Bill Hall B. Hall	4	6/3/2010	BOS	vs	OAK	5	4	1	0	1	2	0	0	0	1	0	5	8	2	0	0	0	0
20	Dustin Pedroia D. Pedroia	4	8/22/2009	BOS	vs	NYY	4	3	2	0	0	0	1	0	0	1	0	5	5	2	0	0	0	0
21	Kevin Youkilis K. Youkilis	4	7/11/2009	BOS	vs	KCR	4	3	0	0	2	4	1	0	0	0	0	5	9	2	0	0	0	0
22	Kevin Youkilis K. Youkilis	4	4/25/2009	BOS	vs	NYY	3	2	1	0	0	0	1	1	0	0	0	5	3	1	0	0	1	0
23	David Ortiz D. Ortiz	4	8/12/2008	BOS	vs	TEX	4	3	1	0	2	6	2	0	0	0	0	6	10	3	0	0	1	0
24	Dustin Pedroia D. Pedroia	4	9/26/2007	BOS	vs	OAK	5	3	2	0	1	1	1	0	0	0	0	6	8	3	0	0	0	0
25	J.D. Drew	4	9/11/2007	BOS	vs	TBD	4	3	0	0	1	1	1	0	1	0	0	5	6	1	0	0	0	0